Orbital Analysis for matched events on 20210813_223216.458_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.54° Bg 38.60° Vg 58.28km/s
mass 0.06818g, abs. mag -1.5
Path Details
------------
start 1.17° 53.05° 108.31km
end   1.04° 52.94° 97.30km

Orbit Details
-------------
Semimajor axis 8.69A.U., eccentricity 0.89, inclination 112.27°, Period 25.61Y, LA Sun 141.09°, last Perihelion 2021-07-22

Full details below
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Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459440.439079375472
Time: 2021-08-13 22:32:16.477232 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002C and UK002K
 Convergence angle = 86.74400 deg
 R.A. =  49.44225  Dec = +58.72147 deg

Best intersection: Stations UK002C and UK002K with Qconv = 86.74 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2060683.45 +/- 42.79 m
 Y =  -3319965.06 +/- 58.84 m
 Z =   5161257.17 +/- 101.46 m
 Vx =    19788.40 +/- 128.94 m/s
 Vy =    23289.37 +/- 129.37 m/s
 Vz =    50845.92 +/- 97.05 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.938160e+03, +1.819958e+03, +3.550038e+03, +2.057188e+03, +1.208704e+02, +2.349372e+02
+1.819958e+03, +3.675637e+03, +6.040996e+03, -2.566114e+03, +2.083347e+03, -2.030357e+03
+3.550038e+03, +6.040996e+03, +1.114562e+04, -2.117317e+03, +1.006699e+03, -1.371209e+03
+2.057188e+03, -2.566114e+03, -2.117317e+03, +1.725550e+04, -5.706416e+03, +6.610686e+03
+1.208704e+02, +2.083347e+03, +1.006699e+03, -5.706416e+03, +7.039752e+03, -5.708361e+03
+2.349372e+02, -2.030357e+03, -1.371209e+03, +6.610686e+03, -5.708361e+03, +5.003787e+03

Timing offsets (from input data):
    UK002C: 0.000000 s
    UK002K: 0.000183 s
    UK003G: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 22:32:16.477232 UTC
  Lon     = ++1.183336 +/- 0.0009 deg
  Lat     = +53.053156 +/- 0.0008 deg
  Lat geo = +52.871231 +/- 0.0008 deg
  Ht      =  109009.81 +/- 64.73 m

  JD dynamic   = 2459440.439880338497 
  LST apparent = 301.8276394972 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  49.64627 +/- 0.2490 deg
  Dec       = +58.99197 +/- 0.0697 deg
  Azimuth   =  37.41353 +/- 0.1227 deg
  Elevation = +36.17340 +/- 0.1073 deg
  Vavg      =  60.55579 +/- 0.1302 km/s
  Vinit     =  59.32355 +/- 0.0697 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  49.48424 +/- 0.2490 deg
  Dec       = +58.76784 +/- 0.0697 deg
  Azimuth   =  37.68333 +/- 0.1227 deg
  Elevation = +36.07465 +/- 0.1073 deg
  Vavg      =  60.69605 +/- 0.1302 km/s
  Vinit     =  59.46381 +/- 0.0697 km/s
Radiant (geocentric, J2000):
  R.A.   =  49.92714 +/- 0.2496 deg
  Dec    = +58.54730 +/- 0.0705 deg
  Vg     =  58.27641 +/- 0.0709 km/s
  Vinf   =  59.32355 +/- 0.0697 km/s
  Zc     =  53.97117 +/- 0.1075 deg
  Zg     =  54.49074 +/- 0.1097 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.54434 +/- 0.1569 deg
  Bg     = +38.59919 +/- 0.0834 deg
  Vh     =  40.61124 +/- 0.0694 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  85.70332 +/- 0.4062 deg
  Bh     = +63.54017 +/- 0.1132 deg
  Vh_x   =  -1.35571 +/- 0.1277 km/s
  Vh_y   = -18.04430 +/- 0.0477 km/s
  Vh_z   = -36.35709 +/- 0.0960 km/s
Orbit:
  La Sun = 141.090305 +/- 0.0000 deg
  a      =   8.688026 +/- 0.4201 AU
  e      =   0.891319 +/- 0.0057
  i      = 112.274473 +/- 0.1008 deg
  peri   = 148.846015 +/- 0.5136 deg
  node   = 141.088960 +/- 0.0000 deg
  Pi     = 289.934975 +/- 0.5136 deg
  q      =   0.944224 +/- 0.0020 AU
  f      =  31.149928 +/- 0.5136 deg
  M      =   0.851098 +/- 0.0886 deg
  Q      =  16.431829 +/- 0.8384 AU
  n      =   0.038488 +/- 0.0033 deg/day
  T      =  25.608394 +/- 1.8012 years
  Last perihelion JD = 2459418.326389 (2021-07-22 19:50:00.042133) +/- 0.3588 days
  Tj     =   0.154938 +/- 0.0339
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.484615e-05, +1.125895e-05, +2.073726e-03, +1.326529e-10, +5.119517e-05, -1.740950e-06
q   , +1.125895e-05, +4.204786e-06, +7.519685e-04, -5.649527e-11, +1.882249e-05, +7.341317e-07
Tp  , +2.073726e-03, +7.519685e-04, +1.352549e-01, -6.485457e-09, +3.376424e-03, +8.405582e-05
node, +1.326529e-10, -5.649527e-11, -6.485457e-09, +1.940079e-14, -2.053134e-10, -2.531717e-10
peri, +5.119517e-05, +1.882249e-05, +3.376424e-03, -2.053134e-10, +8.439439e-05, +2.665065e-06
i   , -1.740950e-06, +7.341317e-07, +8.405582e-05, -2.531717e-10, +2.665065e-06, +3.303812e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 23.391889
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK002C
  Avg. res. = 1.006e-05 s
  Stddev    = 3.17e-03 s

Begin point on the trajectory:
  Lon =     1.174832 +/- 0.0004 deg
  Lat =    53.046456 +/- 0.0001 deg
  Ht  = 108311.86 +/- 22.86 m
End point on the trajectory:
  Lon =     1.039210 +/- 0.0003 deg
  Lat =    52.940312 +/- 0.0001 deg
  Ht  = 97300.91 +/- 22.75 m

Stations
--------
        ID, Ignored, Lon +E (deg), Lat +N (deg),  Ht (m), Jacchia a1, Jacchia a2,  Beg Ht (m),  End Ht (m), +/- Obs ang (deg), +/- V (m), +/- H (m), Persp. angle (deg), Weight, FOV Beg, FOV End, Comment
    UK002C,   False,    -1.801980,    51.351940,  130.00,  27.172259,   0.000000,   107950.77,    98994.79,          0.008413,      5.01,     42.51,              16.33, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210813_223213_689_0212992.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.045152,  26.411349,   108311.86,    97300.91,          0.009052,     24.40,      1.08,              59.73, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_223212_809_0208128.fits"}
    UK003G,    True,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   108672.52,    98832.97,          0.042763,       nan,       nan,              16.33, 0.0000,    True,    True, {"ff_name": "FF_UK003G_20210813_223215_286_0213760.fits"}

Points
------
 No, Station ID,  Ignore,  Time (s),                   JD,     meas1,     meas2, Azim +E of due N (deg), Alt (deg), Azim line (deg), Alt line (deg), RA obs (deg), Dec obs (deg), RA line (deg), Dec line (deg),       X (m),       Y (m),       Z (m), Latitude (deg), Longitude (deg), Height (m),  Range (m), Length (m), State vect dist (m),  Lag (m), Vel (m/s), Vel prev avg (m/s), H res (m), V res (m), Ang res (asec), AppMag, AbsMag
  0,     UK002C,       1,  0.000000, 2459440.439079375472,  52.50915,  42.40045,               46.02185,  19.96848,        45.98334,       19.94555,     52.50915,     +42.40045,      52.56693,      +42.40427,  2060671.42, -3319979.22,  5161226.25,      53.052952,       +1.183157,  108988.52,  301021.29,       0.00,               36.08,    75.31,      0.00,           61960.46,    223.44,     27.14,         154.23,  +4.70,  +2.31
  1,     UK002C,       0,  0.040088, 2459440.439079839271,  52.58456,  42.30972,               46.03349,  19.86257,        46.03658,       19.86440,     52.58456,     +42.30972,      52.58009,      +42.30941,  2060084.86, -3320669.55,  5159719.10,      53.042989,       +1.170345,  107950.77,  299329.43,    1758.44,             1794.52,  -544.42,  43864.51,           61960.46,    -17.84,     -2.12,          12.38,  +2.94,  +0.56
  2,     UK002C,       0,  0.080228, 2459440.439080304001,  52.60050,  42.15180,               46.12550,  19.72996,        46.12540,       19.72990,     52.60050,     +42.15180,      52.60099,      +42.15181,  2059130.08, -3321793.26,  5157265.80,      53.026762,       +1.149598,  106262.20,  296582.20,    4620.78,             4656.86,   -63.32,  71308.99,           61960.46,      0.59,      0.07,           0.41,  +1.19,  -1.17
  3,     UK002C,       0,  0.120364, 2459440.439080768730,  52.62647,  42.00025,               46.20690,  19.59782,        46.21084,       19.60015,     52.62647,     +42.00025,      52.62111,      +41.99985,  2058225.54, -3322857.82,  5154941.62,      53.011377,       +1.129939,  104663.24,  293981.27,    7332.48,             7368.56,   267.36,  67562.66,           61960.46,    -22.31,     -2.64,          15.76,  +1.16,  -1.18
  4,     UK002C,       0,  0.160468, 2459440.439081232529,  52.66036,  41.88290,               46.26114,  19.48922,        46.27725,       19.49872,     52.66036,     +41.88290,      52.63707,      +41.88125,  2057528.65, -3323678.00,  5153150.98,      52.999517,       +1.114757,  103431.82,  291977.03,    9421.68,             9457.76,   -22.55,  52094.53,           60860.06,    -90.67,    -10.67,          64.49,  +1.16,  -1.17
  5,     UK002C,       0,  0.200580, 2459440.439081696793,  52.66829,  41.75638,               46.33744,  19.38498,        46.34770,       19.39104,     52.66829,     +41.75638,      52.65388,      +41.75534,  2056799.50, -3324536.16,  5151277.43,      52.987101,       +1.098883,  102143.84,  289881.72,   11607.61,            11643.69,  -216.20,  54495.71,           59636.65,    -57.37,     -6.77,          41.11,  +1.13,  -1.18
  6,     UK002C,       0,  0.240724, 2459440.439082161523,  52.67670,  41.59017,               46.43876,  19.24888,        46.44029,       19.24978,     52.67670,     +41.59017,      52.67544,      +41.59001,  2055860.15, -3325641.70,  5148863.79,      52.971096,       +1.078485,  100485.29,  287186.82,   14423.68,            14459.76,   218.38,  70149.17,           60326.70,     -8.45,     -1.00,           6.11,  +0.96,  -1.33
  7,     UK002C,       0,  0.280860, 2459440.439082626253,  52.69828,  41.43913,               46.52186,  19.11883,        46.52472,       19.12052,     52.69828,     +41.43913,      52.69521,      +41.43884,  2055015.60, -3326635.66,  5146693.74,      52.956696,       +1.060133,   98994.79,  284765.17,   16955.54,            16991.62,   369.23,  63082.06,           60843.90,    -15.75,     -1.86,          11.49,  +1.82,  -0.45
  8,     UK002C,       1,  0.320944, 2459440.439083090052,  52.65862,  41.33430,               46.61400,  19.05330,        46.58095,       19.03370,     52.65862,     +41.33430,      52.70889,      +41.33756,  2054455.09, -3327295.34,  5145253.52,      52.947133,       +1.047899,   98005.87,  283156.39,   18635.89,            18671.96,  -328.35,  41920.64,           59824.95,    180.96,     21.80,         132.77,  +5.23,  +2.97
  0,     UK002K,       0,  0.019449, 2459440.439079597592, 344.92386,  19.61043,              117.13762,  41.92082,       117.13775,       41.92104,    344.92386,     +19.61043,     344.92373,      +19.61056,  2060288.97, -3320429.33,  5160243.57,      53.046456,       +1.174832,  108311.86,  160423.00,       0.00,             1182.61,    68.06,      0.00,           58801.63,      0.03,     -0.67,           0.86,  +1.47,  +0.44
  1,     UK002K,       0,  0.059717, 2459440.439080063719, 344.51266,  18.99610,              118.02917,  41.62767,       118.03142,       41.63145,    344.51266,     +18.99610,     344.50920,      +18.99831,  2059514.44, -3321340.89,  5158253.41,      53.033296,       +1.157969,  106941.86,  159279.32,    2321.97,             3504.58,     1.19,  57663.02,           58801.63,      0.50,    -11.50,          14.91,  +0.91,  -0.10
  2,     UK002K,       0,  0.099997, 2459440.439080529846, 344.08978,  18.35826,              118.94459,  41.31643,       118.94920,       41.32398,    344.08978,     +18.35826,     344.08278,      +18.36268,  2058723.00, -3322272.35,  5156219.83,      53.019840,       +1.140744,  105542.52,  158137.67,    4694.62,             5877.23,   -15.72,  58903.80,           58801.63,      1.00,    -22.91,          29.91,  +0.75,  -0.25
  3,     UK002K,       0,  0.140273, 2459440.439080995973, 343.64261,  17.70929,              119.88761,  41.00356,       119.88523,       40.99975,    343.64261,     +17.70929,     343.64694,      +17.70706,  2057919.55, -3323217.95,  5154155.39,      53.006171,       +1.123264,  104122.50,  157007.15,    7103.27,             8285.88,     3.62,  59803.68,           58801.63,     -0.51,     11.54,          15.18,  +0.60,  -0.38
  4,     UK002K,       0,  0.180577, 2459440.439081462566, 343.19999,  17.01733,              120.84975,  40.64688,       120.85353,       40.65279,    343.19999,     +17.01733,     343.19491,      +17.02080,  2057091.85, -3324192.08,  5152028.63,      52.992080,       +1.105265,  102660.21,  155873.24,    9584.63,            10767.24,    94.00,  61566.01,           59458.51,      0.78,    -17.85,          23.64,  +0.73,  -0.23
  5,     UK002K,       0,  0.220837, 2459440.439081928227, 342.75685,  16.38605,              121.76304,  40.33662,       121.75244,       40.32037,    342.75685,     +16.38605,     342.77385,      +16.37650,  2056326.44, -3325092.92,  5150061.90,      52.979042,       +1.088611,  101308.49,  154852.27,   11879.27,            13061.88,     0.28,  56995.59,           59294.45,     -2.17,     48.99,          65.31,  +0.63,  -0.32
  6,     UK002K,       0,  0.261141, 2459440.439082394820, 342.31877,  15.69147,              122.70781,  39.96484,       122.70290,       39.95747,    342.31877,     +15.69147,     342.32718,      +15.68713,  2055519.46, -3326042.67,  5147988.38,      52.965288,       +1.071065,   99883.93,  153806.13,   14298.51,            15481.12,    28.54,  60024.79,           59314.15,     -0.98,     22.20,          29.80,  +0.78,  -0.15
  7,     UK002K,       0,  0.301409, 2459440.439082860947, 341.91939,  15.06672,              123.55680,  39.62849,       123.55323,       39.62323,    341.91939,     +15.06672,     341.92588,      +15.06361,  2054799.57, -3326889.92,  5146138.64,      52.953010,       +1.055397,   98613.59,  152898.53,   16456.66,            17639.27,  -202.15,  53594.64,           58845.90,     -0.70,     15.82,          21.36,  +0.99,  +0.07
  8,     UK002K,       0,  0.341685, 2459440.439083327074, 341.49623,  14.41713,              124.44146,  39.27802,       124.43380,       39.26695,    341.49623,     +14.41713,     341.50871,      +14.41059,  2054055.42, -3327765.73,  5144226.56,      52.940312,       +1.039210,   97300.91,  151987.26,   18687.55,            19870.16,  -360.58,  55390.00,           58397.02,     -1.48,     33.26,          45.18,  +2.41,  +1.50
  0,     UK003G,       1,  0.009883, 2459440.439079490025,  52.57975,  42.37583,               45.99373,  19.91721,        45.99992,       19.92087,     52.57975,     +42.37583,      52.57053,      +42.37520,  2060492.83, -3320189.41,  5160767.36,      53.049919,       +1.179265,  108672.52,  300506.99,       0.00,              571.48,    24.40,      0.00,           58799.10,    -35.78,     -4.24,          24.73,  +3.91,  +1.52
  1,     UK003G,       1,  0.049947, 2459440.439079953358,  52.55235,  42.25318,               46.09014,  19.83215,        46.06728,       19.81858,     52.55235,     +42.25318,      52.58677,      +42.25546,  2059758.24, -3321053.96,  5158879.85,      53.037439,       +1.163263,  107373.04,  298390.60,    2202.22,             2773.69,  -150.12,  54967.51,           58799.10,    131.45,     15.82,          91.52,  +1.74,  -0.63
  2,     UK003G,       1,  0.090035, 2459440.439080417622,  52.55223,  42.11378,               46.18023,  19.72149,        46.14503,       19.70056,     52.55223,     +42.11378,      52.60523,      +42.11727,  2058924.30, -3322035.44,  5156737.06,      53.023263,       +1.145123,  105898.38,  295990.65,    4702.28,             5273.75,   -28.22,  62364.31,           58799.10,    201.03,     24.34,         141.11,  +1.43,  -0.93
  3,     UK003G,       1,  0.130135, 2459440.439080881886,  52.58407,  41.98452,               46.24361,  19.60443,        46.21811,       19.58929,     52.58407,     +41.98452,      52.62266,      +41.98707,  2058150.17, -3322946.53,  5154747.95,      53.010095,       +1.128274,  104530.03,  293763.82,    7023.05,             7594.52,   -86.33,  57874.52,           58799.10,    144.53,     17.40,         102.22,  +0.95,  -1.39
  4,     UK003G,       1,  0.170235, 2459440.439081345685,  52.61320,  41.84977,               46.31206,  19.48415,        46.29408,       19.47350,     52.61320,     +41.84977,      52.64069,      +41.85157,  2057357.09, -3323879.92,  5152710.14,      52.996597,       +1.111021,  103128.72,  291484.29,    9400.62,             9972.09,   -87.63,  59291.08,           58923.86,    101.14,     12.12,          72.08,  +1.12,  -1.20
  5,     UK003G,       1,  0.210311, 2459440.439081809483,  52.56417,  41.69016,               46.44550,  19.37937,        46.38102,       19.34094,     52.56417,     +41.69016,      52.66105,      +41.69643,  2056464.98, -3324929.86,  5150417.89,      52.981403,       +1.091638,  101553.13,  288923.13,   12075.06,            12646.53,   209.36,  66734.16,           60074.88,    360.17,     44.18,         259.06,  +0.85,  -1.45
  6,     UK003G,       1,  0.250411, 2459440.439082273748,  52.59621,  41.55670,               46.51098,  19.25869,        46.45608,       19.22602,     52.59621,     +41.55670,      52.67882,      +41.56207,  2055703.79, -3325825.72,  5148462.02,      52.968430,       +1.075078,  100209.28,  286738.34,   14357.03,            14928.51,   112.46,  56907.17,           60146.48,    304.36,     37.13,         220.57,  +1.51,  -0.78
  7,     UK003G,       1,  0.290519, 2459440.439082738012,  52.63284,  41.41804,               46.57671,  19.13170,        46.53411,       19.10640,     52.63284,     +41.41804,      52.69720,      +41.42223,  2054923.90, -3326743.59,  5146458.11,      52.955131,       +1.058118,   98832.97,  284501.76,   16695.06,            17266.53,    71.13,  58293.17,           60021.80,    234.34,     28.39,         171.14,  +1.48,  -0.79

Notes
-----
- Points that have not been taken into consideration when computing the trajectory have '1' in the 'Ignore' column.
- The time already has time offsets applied to it.
- 'meas1' and 'meas2' are given input points.
- X, Y, Z are ECI (Earth-Centered Inertial) positions of projected lines of sight on the radiant line.
- Zc is the observed zenith distance of the entry angle, while the Zg is the entry zenith distance corrected for Earth's gravity.
- Latitude (deg) and Longitude (deg) are in WGS84 coordinates, while Height (m) is in the EGM96 datum. There values are coordinates of each point on the radiant line.
- Jacchia (1955) deceleration equation fit was done on the lag.
- Right ascension and declination in the table are given in the epoch of date for the corresponding JD, per every point.
- 'RA and Dec obs' are the right ascension and declination calculated from the observed values, while the 'RA and Dec line' are coordinates of the lines of sight projected on the fitted radiant line. The coordinates are in the epoch of date, and NOT J2000!. 'Azim and alt line' are thus corresponding azimuthal coordinates.
- 'Vel prev avg' is the average velocity including all previous points up to the given point. For the first 4 points this velocity is computed as the average velocity of those 4 points.